Amplitudes Summer School 2017: Vuong-Viet Tran - Amplitudes and Correlator Integrands to Ten Loops Using Graphical Bootstraps
From Einan Gardi
Amplitudes and Correlator Integrands to Ten Loops Using Graphical Bootstraps
We introduce the "triangle" and "pentagon" rules for obtaining contributing coefficients to the four-point correlation function and scattering amplitude integrands in planar, maximally supersymmetric Yang-Mills theory. Combining these graphical rules with the rung rule prove powerful enough to fully determine both functions through ten loops. We illustrate their applications, compare their relative strengths for fixing coefficients, and if time permits, survey some of the novel features of the higher-loop expressions.